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3 years ago

In two or more complete sentences, explain how to find the time it takes for a rocket following the path of the

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

Answer:

After t = 4 the rocket will hit the ground.

Step-by-step explanation:

We are given a parametric equation as x = 3t² and y = - 4t + 16.

If we assume that the x is a measure of horizontal distance, y is the measure of vertical distance and t is the time of travel of the rocket, then by making y = 0, we will get the time to hit the ground.

Hence, - 4t + 16 = 0

⇒ t = 4

Therefore, after t = 4 the rocket will hit the ground. (Answer)

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3. Look for a pattern to determine the next two numbers in the list. Show your work. (5 points)

EleoNora [17]

Answer:

The sequence is subtracting 12 each time. The next two numbers would be 152, and 140

Step-by-step explanation:

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4 years ago

How to find matrics M

makkiz [27]

$\left[\begin{array}{ccc}9&7\\-4&2\end{array}\right] -4M=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\qquad(*) \\\\M=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\to4M=\left[\begin{array}{ccc}4a&4b\\4c&4d\end{array}\right]$

$(*)\qquad\left[\begin{array}{ccc}9&7\\-4&2\end{array}\right] -\left[\begin{array}{ccc}4a&4b\\4c&4d\end{array}\right]=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\\\\\left[\begin{array}{ccc}9-4a&7-4b\\-4-4c&2-4d\end{array}\right]=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\\.\qquad\qquad\qquad\qquad\ \ \ \Downarrow\\(_{11})\qquad9-4a=-3\ \ \ |-9\\-4a=-12\ \ \ \ |:(-4)\\a=3\\\\(_{12})\qquad7-4b=3\ \ \ \ |-7\\-4b=-4\ \ \ \ |:(-4)\\b=1$

$(_{21})\qquad-4-4c=4\ \ \ \ |+4\\-4c=8\ \ \ \ |:(-4)\\c=-2\\\\(_{22})\qquad2-4d=-18\ \ \ \ |-2\\-4d=-20\ \ \ \ \ |:(-4)\\d=5\\\\Answer:\ A.\ M=\left[\begin{array}{ccc}3&1\\-2&5\end{array}\right]$

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4 years ago

Every complex number in the form a+bi is composed of which two parts?

Artemon [7]

Complex numbers are written in the generic way:
a + bi
The complex numbers are composed of the following parts:
a = real part
bi = imaginary part
where,
i = root (-1)
Answer:
Every complex number in the form a + bi is composed of:
real and imaginary

6 0

3 years ago

What does 5.74 round to

kodGreya [7K]

The nearest whole number rounds to 6

The nearest tenth rounds to 5.70

The nearest hundredth rounds to 5.70

4 0

4 years ago

If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?

zzz [600]

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a <u>rectangular prism of length l, width w and height h</u> is given by:

$V = lwh$

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

The length is of 102' 6''(102 feet and 6 inches), hence $l = 102.5$ .

The width is of 5' 4'', hence $w = 5.33$ .

The depth(height) is of 3' 3'', hence $h = 3.25$ .

Then:

$V = lwh = 102.5(5.33)(3.25) = 1776$

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at brainly.com/question/17223528

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3 years ago